But then it’s their idea not what scripture says. All the times the Temple was rebuilt after its destruction it was always on the same spot.
Herod’s temple kind of sprawled all over the place on the the temple mount...including what is known as the wailing wall...so pick a spot.. the third temple will be rebuilt somewhere no doubt on the temple mount. There is no direct biblical quote that says the third temple will sit exactly in the same place as the Mosque of Omar(that is evangelical eschatological tradition, not biblical quotation)....there is also no direct quote that it won’t sit there either as you say, there might be a great earth quake. I maintain that all conditions have been met for the building of the temple other than the Lord’s timing
I read Daniel, it mentions the temple but not its final location only that the son of Perdition commits the final Abomination of Desolation( historically there had been one by Antiochus and one by the Romans but the one by the Beast is what brings God’s hammer down setting up Armageddon!) there after causing the sacrifices to cease.